Prescribing symmetric functions of the eigenvalues of the Ricci tensor
Matthew Gursky, Jeff Viaclovsky
Abstract
We study the problem of conformally deforming a metric to a prescribed symmetric function of the eigenvalues of the Ricci tensor. We prove an existence theorem for a wide class of symmetric functions on manifolds with positive Ricci curvature, provided the conformal class admits an admissible metric.
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